Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: MSC category 16R20 ( Semiprime p.i. rings, rings embeddable in matrices over commutative rings )

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 1998 (vol 41 pp. 81)

Lanski, Charles
The cardinality of the center of a $\PI$ ring
The main result shows that if $R$ is a semiprime ring satisfying a polynomial identity, and if $Z(R)$ is the center of $R$, then $\card R \leq 2^{\card Z(R)}$. Examples show that this bound can be achieved, and that the inequality fails to hold for rings which are not semiprime.

Categories:16R20, 16N60, 16R99, 16U50

© Canadian Mathematical Society, 2014 :